verify the identity for cotangent(pi divided by theta)-cosecant(theta)

Algebra
Tutor: None Selected Time limit: 1 Day

verify the identity.

cot(pi/theta)=csc(theta)

Jun 4th, 2015

Thank you for the opportunity to help you with your question!

This is incorrect expression. cot(pi/theta) is not correct expression.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 4th, 2015

sorry, i typed the question wrong!

thanks!

it is: cot(π/2-θ)=cscθ

Jun 4th, 2015

cot(π/2-θ)=cos(π/2-θ)/sin(π/2-θ)=[cos(π/2)cos(θ)+sin(π/2)sin(θ)]/[sin(π/2)cos(θ)-cos(π/2)sin(θ)]=[0*cos(θ)+1*sin(θ)]/[1*cos(θ)-0*sin(θ)]=sin(θ)/cos(θ)=tan(θ)

cot(π/2-θ)=tan(θ)

So, cot(π/2-θ)=cscθ is not an identity.

Jun 4th, 2015

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